A small plane flies at a speed of 102 km/h in still air. Suppose the wind blows out from the west (with the air moving east) at a speed of 4

Question

A small plane flies at a speed of 102 km/h in still air. Suppose the wind blows out from the west (with the air moving east) at a speed of 46 km/h.A) In what direction must the pilot head her plane to move directly north across land?B) How long does it take her to reach a point 300 km directly north of her srarting point?

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Xavia 4 months 2021-07-29T13:45:20+00:00 1 Answers 9 views 0

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    2021-07-29T13:46:38+00:00

    Answer:

    2.68 hours

    Explanation:

    A.) Suppose the wind blows out from the west (with the air moving east). The pilot should then head her plane to northwest direction to move directly north.

    B.) Given that plane flies at a speed of 102 km/h in still air. And the wind blows out from the west (with the air moving east) at a speed of 46 km/h.

    The plan resultant speed can be calculated by using pythagorean theorem.

    Resultant Speed = Sqrt( 102^2 + 46^2 )

    Resultant Speed = Sqrt( 12520)

    Resultant speed = 111.89 km/h

    From the definition of speed,

    Speed = distance/time

    Where distance = 300 km

    Substitute the resultant speed and the distance into the formula.

    111.89 = 300/time

    Time = 300/111.89

    Time = 2.68 hours

    Therefore, it take her 2.68 hours to reach a point 300 km directly north of her srarting point

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